Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Posters II
DY 29.6: Poster
Thursday, March 29, 2012, 17:00–19:00, Poster A
Dynamical tunneling in 4D maps — Arnd Bäcker1,2, Roland Ketzmerick1,2, and •Martin Richter1 — 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — 2Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
Higher dimensional Hamiltonian systems show an involved phase-space structure including regular regions interwoven with chaotic trajectories of the Arnol’d web. For 4D quantum maps we investigate the regular-to-chaotic tunneling rates out of mostly regular region embedded inside a large chaotic sea. The tunneling rates are predicted using the fictitious integrable system approach. We address the consequences of resonances on the tunneling rates. Furthermore we study chaotic states approaching the Arnol’d web from outside.